Pith Number

pith:47UJURM6

pith:2010:47UJURM6YIALCZ6AL2O5T327OP

not attested not anchored not stored refs pending

Syzygies of surfaces of general type

Krishna Hanumanthu, P. Banagere

arxiv:1012.4226 v2 · 2010-12-20 · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{47UJURM6YIALCZ6AL2O5T327OP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:38:34.603592Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7e89a459ec200b167c05e9dd9ef5f73d5fa0b60b2f976a8b36ed370af534e97

Aliases

arxiv: 1012.4226 · arxiv_version: 1012.4226v2 · doi: 10.48550/arxiv.1012.4226 · pith_short_12: 47UJURM6YIAL · pith_short_16: 47UJURM6YIALCZ6A · pith_short_8: 47UJURM6

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/47UJURM6YIALCZ6AL2O5T327OP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e7e89a459ec200b167c05e9dd9ef5f73d5fa0b60b2f976a8b36ed370af534e97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "941e61b80ef58d97c98081fd877d035750167c958cb9a539e1f1f7d1dd7c7dc7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-20T01:23:24Z",
    "title_canon_sha256": "7aab91b8253e14ae320de7d12dc27dc83c191a6a24a145cb281e6082eb55b063"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4226",
    "kind": "arxiv",
    "version": 2
  }
}